Abstract
A magnetic field independent regularization scheme (zMFIR) based on the Hurwitz-Riemann zeta function is introduced. The new technique is applied to the regularization of the mean-field thermodynamic potential and mass gap equation within the SU(2) Nambu-Jona-Lasinio model in a hot and magnetized medium. The equivalence of the new and the standard MFIR scheme is demonstrated. The neutral meson pole mass is calculated in a hot and magnetized medium and the advantages of using the new regularization scheme are shown.
Highlights
The possibility of strong magnetic fields of the order of ∼1019 G [1] or larger to be generated in noncentral heavyion collisions has been a subject of great interest in the last decades, opening the possibility for new and interesting physical phenomena
In this work we have presented a study of the NJL SU(2) at finite temperatures and magnetic fields in the MFIR scheme
We show an equivalent and helpful formalism that we call zMFIR, applicable in several future applications
Summary
The possibility of strong magnetic fields of the order of ∼1019 G [1] or larger to be generated in noncentral heavyion collisions has been a subject of great interest in the last decades, opening the possibility for new and interesting physical phenomena. It is expected that in magnetars [6,7], i.e., neutron stars with ultrastrong magnetic fields, magnetic fields with magnitude as large as ∼1018 G can be found inside the star. In this way, the study of nuclear matter properties in a magnetized medium has attracted the attention of many researchers nowadays. The study of nuclear matter properties in a magnetized medium has attracted the attention of many researchers nowadays These properties are calculated within the framework of effective theories or lattice, once the nonperturbative behavior of quantum chromodynamics (QCD) prevents first principle evaluations at the low energy regime.
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